Units in Integral Group Rings of Some Metacyclic Groups
1987 ◽
Vol 30
(2)
◽
pp. 231-240
◽
Keyword(s):
AbstractLet p be odd prime and suppose that G = 〈a, b〉 where ap-1 = bp = 1, a-1 ba = br, and r is a generator of the multiplicative group of integers mod p. An explicit characterization of the group of normalized units V of the group ring ZG is given in terms of a subgroup of GL(p - 1, Z). This characterization is used to exhibit a normal complement for G in V.
1990 ◽
Vol 42
(3)
◽
pp. 383-394
◽
2000 ◽
Vol 43
(1)
◽
pp. 60-62
◽
Keyword(s):
2011 ◽
Vol 10
(04)
◽
pp. 711-725
◽
Keyword(s):
1976 ◽
Vol 28
(5)
◽
pp. 954-960
◽
Keyword(s):
1984 ◽
Vol 19
(1)
◽
pp. 103-114
◽
1973 ◽
Vol 25
(6)
◽
pp. 1174-1182
◽
Keyword(s):
1984 ◽
Vol 18
(2)
◽
pp. 215-228
◽
Keyword(s):
1981 ◽
Vol 5
(2)
◽
pp. 267-283
◽
Keyword(s):
Keyword(s):
1985 ◽
Vol 9
(2)
◽
pp. 373-374
◽
Keyword(s):